• 제목/요약/키워드: stress-crack opening relation

검색결과 28건 처리시간 0.02초

균열닫힘모델을 이용한 수치해석 (Numerical Analysis of Crack Growth Using a Crack Closure Model)

  • 최동호;최항용;이준구
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 봄 학술발표회 논문집
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    • pp.365-372
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    • 2001
  • This study is concerned with the application of an analytical model of cyclic crack growth that includes the effects of crack closure. The crack closure model is based on the Dugdale model and the strip model, considering the plasticity-induced closure which is caused by residual plastic deformation remaining in the wake of an advancing crack. This study is performed to get the relation between crack growth and crack opening stress with the constant stress ratio, and the relation between stress ratio and crack opening stress with the constant maximum stress under constant-amplitude loading. Under constant-amplitude loading, the crack opening stress is conversed the constant value as a crack grows and is proportion to both the stress ratio and the maximum stress. The crack closure effect, however, is decreased in the positive stress ratio and disappeared at about 0.7. The crack growth analysis using the crack closure model shows that the influence of stress ratio is minimized in the relation between crack growth ratio and effective stress intensity range specially at the negative stress ratio.

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피로균열개구거동을 이용한 짧은균열의 거동 분석 (Short Crack Analysis by Fatigue Crack Opening Behavior)

  • 송삼홍;이경로
    • 한국정밀공학회지
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    • 제14권4호
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    • pp.136-144
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    • 1997
  • The characteristics of fatigue crack growth subject to out-of-plane bending fatigue are studied in terms of crack opening behavior by using pre-cracked smooth specimens. Crack opening stress is measured by an elastic compliance method which may precisely and continuously provide many date using strain gages during experiment. The results of the short crack and the long crack arranged by crack closure concept show that the effective stress gange ratio of short crack is grester than that of long crack, and ano- malous growth behavior of short crack may be elucidated by the variation of crack opening stress. When the variation of fatigue crack growth rate is arranged versus effective stress intensity factor range. Iinear relation is held also for the short crack. It shows that growth behavior of short crack can be quantitatively represent- ed by the fracture mechanics parameter using effective stress intensity factor range.

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평면변형률 상태 하에서 유한요소해석을 이용한 균열닫힘 거동 예측 및 평가 (Finite Element Analysis of Fatigue Crack Closure under Plane Strain State)

  • 이학주;송지호;강재윤
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.202-207
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    • 2004
  • An elastic-plastic finite element analysis of fatigue crack closure is performed for plane strain conditions. The stabilization behavior of crack opening level and the effect of mesh size on the crack opening stress are investigated. In order to obtain a stabilized crack opening level for plane strain conditions, the crack must be advanced through approximately four times the initial monotonic plastic zone. The crack opening load tends to increase with the decrease of mesh size. The mesh size nearly equal to the theoretical plane strain cyclic plastic zone size may provide reasonable numerical results comparable with experimental crack opening data. The crack opening behavior is influenced by the crack growth increment and discontinuous opening behavior is observed. A procedure to predict the most appropriate mesh size for different stress ratio is suggested. Crack opening loads predicted by the FE analysis based on the procedure suggested resulted in good agreement with experimental ones within the error of 5 %. Effect of the distance behind the crack tip on the crack opening load determined by the ASTM compliance offset method based on the load-displacement relation and by the rotational offset method based on the load-differential displacement relation is investigated. Optimal gage location and method to determine the crack opening load is suggested.

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초기재령에서 콘크리트 인장균열에 대한 쌍선형 응력-균열 개구 관계의 변화 (Variation of Bilinear Stress-Crack Opening Relation for Tensile Cracking of Concrete at Early Ages)

  • 권승희;최강;이윤;박홍용
    • 콘크리트학회논문집
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    • 제22권3호
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    • pp.427-435
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    • 2010
  • 인장 균열은 콘크리트의 가장 취약한 특성으로 수화열 및 건조수축 등으로 인해 초기재령에서 발생되는 경우가 많다. 초기의 균열을 정확히 예측하기 위해서는 응력-균열 개구 관계가 시간에 따라 어떻게 변화하는 지를 파악해야 한다. 이 연구에서는 기존에 수행되었던 쐐기형 쪼갬 실험결과에 대한 역해석을 수행하였으며, 측정된 하중-균열 개구 변위를 최적으로 모사하는 응력-균열 개구 관계에 대한 쌍선형 연화곡선을 구하였다. 파괴에너지의 시간에 따른 변화에 관한 분석이 이루어졌으며, 분석 결과를 바탕으로 초기재령에서의 응력-균열 개구 관계에 대한 모델을 제안하였다. 최대 하중, 최대 하중에서의 균열 개구 변위, 파괴에너지에 대하여 실험 측정값, 역해석 결과, 모델로부터 계산된 결과들을 비교해 보았으며, 이를 통해 제안된 모델을 검증하였다.

짧은 균열의 피로성장거동예측 (Prediction d Fatigue Growth Behavior of Short Cracks)

  • 최용식;우흥식;한지원
    • 한국안전학회지
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    • 제8권4호
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    • pp.47-53
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    • 1993
  • The growth of short cracks can be well described in terms of the effective stress intensity factor range, which is calculated on the base of crack closure. The relation between the crack opening SIF and crack length is determined from the experimental results. The crack opening SIF of short cracks, Kop, can be predicted from the crack opening SIF at threshold of long crack, Kop.L. The growth rate of short cracks at notch root can be predicted from the crack opening SIF of short cracks, Kop, and the growth equation of long cracks in region II.

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Double Cantilever Beam 방법을 이용한 다결정 알루미나의 Bridging 응력효과 해석 III. 다결정 알루미나의 Bridging 응력분포 (Analysis of bridging Stress Effect of Polycrystlline Aluminas Using Double Cantilever Beam Method)

  • 손기선;이성학;백성기
    • 한국세라믹학회지
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    • 제33권5호
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    • pp.602-615
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    • 1996
  • The purpose of the present study is to investigate the microstructural effect on the R-curve behavior in three aluminas with different grain size distributions by analyzing the bridging stress distribution. The crack opening displacement (COD) according to the distance behind the stationary crack tip was measured using an in situ SEM fracture method. The measured COD values in the fine-grained alumina agreed well with Wiederhorn's sollution while they deviated from Wiederhorn's solution in the two coarse-grained aluminas because of the increase of the crack closure due to the grain interface bridging in the crack wake. A numerical fitting procedure was conducted by the introduction of the power-law relation and the current theoretical model together with the measured COD's in order to obtain the bridging stress distribution. The results indicated that the bridging stress function and the R-curve computed by the current model were consistent with those computed by the power-law relation providing a reliable evidence for the bridging stress analysis of the current model. The strain-softening exponent in the power-law relation n, was calculated to be in the range from 2 to 3 and was closely related to the grain size distribution. Thus it was concluded from the current theoretical model that the grain size distribution affected greatly the bridging stress distribution thereby resulting in the quantitative analysis of microfracture of polycrystalline aluminas through correlating the local-fracture-cont-rolling microstructure.

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다결정 알루미나에서 결정립 크기 분포를 포함하는 Bridging 응력함수의 해석적 모델링 (An Analytical Modeling for Bridging Stress Function Involving Grain Size Distribution in a Polycrystalline Alumina)

  • 손기선;이성학;백성기
    • 한국세라믹학회지
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    • 제31권12호
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    • pp.1449-1458
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    • 1994
  • A new analytical model which can discribe the relationship between the bridging stress and the crack opening displacement was proposed to investigate the microstructural effect on the R-curve behavior in a polycrystalline alumina. The crack opening displacement according to the distance behind the stationary crack tip was measured using in-situ fracture technique in an SEM, and then used for a fitting procedure to obtain the distribution of bridging stress. The current model and an empirical power law relation were introduced into the fitting procedure. The results indicated that the bridging stress function and R-curve computed by the current model were consistent with those computed by the power law relation. The microstructural factor, e.g., the distribution of grain size, was also found to be closely related to the bridging stress. Thus, this model explained well the interaction effect between the distribution of bridging stress and the local-fracture-controlling microstructure, providing important information for the systematic interpretation of microfracture mechanism including R-curve behavior of a monolithic alumina.

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개구부가 있는 철근콘크리트 전단벽의 극한해석 (Ultimate Analysis of Reinforced Concrete Shear Walls with Opening)

  • 허남륜;유영화;김운학
    • 한국구조물진단유지관리공학회 논문집
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    • 제5권1호
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    • pp.195-205
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    • 2001
  • An analytical finite element approach to nonlinear behavior of reinforced concrete shear walls with opening under monotonic loading was presented in this paper. In order to achieve the objectives of present paper, the orthogonal anisotropic models for cracked reinforced concrete element based on smeared crack concept were used as the nonlinear material models of biaxial state of stress. The stiffness of cracked concrete was evaluated through the combined use of tension and compression stiffness models in and parallel directions of crack, respectively and shear transfer effect due to the aggregate interlocking at crack surface. The stress and strain of reinforcement in concrete was evaluated using the average stress and average strain relation with bond effect. based on smeared crack concept. The diagonal reinforcing bar was modeled using truss element with bond effect. A special significance of diagonal reinforcement near opening was given to the shear wall with opening and an effective distribution of diagonal reinforcement was presented in order to give an ultimate strength increment as well as a crack control.

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3중 점용접재의 귤열단 열림각(CTOA)을 이용한 피로균열거동 (Fatigue Crack Behavior of Triple Piece Spot by Crack Tip Opening Angle of Welded Specimen)

  • 송삼홍;주동호;양윤진
    • 한국정밀공학회지
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    • 제18권5호
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    • pp.74-83
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    • 2001
  • In this study, internal fatigue crack initiation and propagation behavior were investigated by triple piece spot welded specimen. To estimate fatigue life of the specimen varied with shape and thickness, Crack tip opening angle(CTOA) correlated with stress intensity factor was used as the stiffness parameter. The relation between fatigue life and CTOA can be arranged by the quantitative equation for each specimen by experiment. In addition, the variation of stress distribution was solved and the effect on fatigue crack behavior was examined by finite element method(FEM).

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J적분에 의한 SB41강의 피로균열 진전 특성 평가 (Description of crack growth behavior of SB41 steel in terms of J integral)

  • 배원호;김상태;이택순
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1568-1575
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    • 1990
  • 본 연구에서는 중앙균열을 가진 SB41강의 평판이 하중제어와 변형률제어 피로 상태에서 소규모 항복, 대규모 항복, 또는 전면 항복의 각 응력에서 피로균열 진전 속 도와 J적분 범위, .DELTA.J와의 관계를 조사하는 한편, 피로균열 진전 속도를 지배하는 국 소적 역학 인자인 균열선단 개구변위, COD와 균열 진전 속도와 관계 및 그 특성을 고 찰하였다.